Step-by-step explanation:
Let the amount of apples bought be x
Amount of strawberries bought be y and;
amount of oranges bought be z
If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;
2x+3y+4z = 15.30 ........... 1
If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:
4x+y+2z = 10.90 ......... 2
If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:
5x+2y+x = 13.70 .......... 3
Solving the three equations simultaneously:
2x+3y+4z = 15.30 ........... 1
4x+y+2z = 10.90 ......... 2
5x+2y+z = 13.70 .......... 3
Reduce the number of equations
multiply equation 1 by 2 and subtract from equation 2
equation 1 * 2 will give:
4x+6y+8z = 30.6 ........... 4
eqn (4)-eqn(2)
6y-y + 8z-2z = 30.6-10.90
5y+6z = 19.7 ......... 5
Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.
eqn(2)* 5 will give:
20x+5y+10z = 54.5 .......... *
eqn(3) * 4 will give
20x+8y+4z = 54.8.......**
Subtsrct ** from *
8y-3y+(4z-10z)= 54.8-54.5
5y-6z = 0.3 .................. 6
Equate 5 and 6 and solve:
5y+6z = 19.7 ......... 5
5y-6z = 0.3 .................. 6
subtract:
6z+6z = 19.7+0.3
12z = 20
z = 20/12
z = 1.67
Substitute z = 1.67 into eqn 6
5y-6(1.67) = 0.3
5y - 10 = 0.3
5y = 10.3
y = 10.3/5
y = 2.06
Substitute z = 1.67 and y = 2.06 into equation 1
From 1:
2x+3y+4z = 15.30
2x+3(2.06)+4(1.67) = 15.30
2x+6.18+6.68 = 15.30
2x+12.86 = 15.30
2x = 15.30-12.86
2x = 2.44
x = 2.44/2
x = 1.22
Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67
Use the distributive property to simplify the following expression-(8+b)
Do you see the negative sign in front of the parentheses? That is -1.
Multiply each term inside the parentheses by -1.
Doing so, we get -8 -b.
I have a riddle for you I have 31 82,400,060 tens and 100 hundreds
Answer: 31824010600
Step-by-step explanation: 3182400060 tens and 100 hundreds = 31824010600.
Nick's phone bill is $50 per month plus $0.25 for every text message. If his bill was $108 this month, how many
text messages did he send?
Answer:
232 text messages
Step-by-step explanation:
108 - 50 = 58
[tex]58 \div .25[/tex]
232 text messages
Yw :)
The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?
Answer:
it was decreased by 67%
Step-by-step explanation:
Answer:
67 %
Step-by-step explanation:
A ball thrown straight up in the air travels 90 inches in the first tenth of a second. In the next tenth of a second the ball travels 85 inches. After each additional tenth of a second, the ball travels 5 inches less than it did during the preceding tenth of a second. How long will it take before the ball starts coming back down? What is the total distance that the ball has traveled once it reaches its maximum height?
Answer:
855
Step-by-step explanation:
1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:
Time | Inches traveled
0.1 | 90
0.2 | 85
0.3 | 80
0.4 | 75
0.5 | 70
0.6 | 65
0.7 | 60
0.8 | 55
0.9 | 50
1.0 | 45
1.1 | 40
1.2 | 35
1.3 | 30
1.4 | 25
1.5 | 20
1.6 | 15
1.7 | 10
1.8 | 5
1.9 | 0
90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855
What is the temperature displayed on the thermometer?
Your Answer :
98.6°F (37°C).
Step - By - Step Explanation :
Your normal body temperature should be around 98.6°F (37°C). If you have a temperature that is over than 100.4°F (37.2°C), then you should see your doctor preferably soon.
Note :
I am sorry if this is the wrong answer to your question. Your query did not have an image to display the temperature on the thermometer nor did your query have any further context for us to examine.
Good luck on your homework and have a great day.
Feel free to comment on my answer if you have any further questions.
Answer:
25
Step-by-step explanation:
It's Correct On Edge As Well :P
What is equivalent to
Helen borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000 and an interest of $1,200. What was the annual interest rate?
Answer:
3%
Step-by-step explanation:
No explanation
5. Ameris rolls a standard number cube with the numbers 1-6. What is the probability of
rolling a 6 or a 2?
a. 16
b. 13
C.
d. 5%
Answer: its 2/6 is the answer the choices don't make cense
Step-by-step explanation:
I’ll mark brainliest
Evaluate the following expression for
m= -3
N= 4
P= 2
(4) / (2) + (-3)
4/2 - 3
4/2 - 3/1 ( 3/1 multiply by 2 to make denominators same ok )
4/2 - 6/2
-2/2 ( simplify )
-1 is the answer
Question
Identify the correct graph and solution for the inequality.
10 a <25
(Look at pic)
Answer:
First option
Step-by-step explanation:
First, Solve the inequality:
Divide each side by 10 to cancel out the 10 next to a. It should now look like this: a < 2.5Find the inequality that matches the solution:
The first option (which literally writes the simplified version of the inequality) is correct, because it matches our simplified inequality above.Find f(-5) if f(x) = |x + 1|.
A)6
B)5
C)4
Bob needs his refrigerator fixed. The repairman will charge Bob a flat fee of $40 plus an additional $15 for each hour he needs to work on it. Write an equation to represent Bob's cost to repair his refrigerator. Use y for the total cost and x for hours.
Given:
Fixed fee = $40
Additional fee = $15 per hour
To find:
The equation to represent Bob's cost to repair his refrigerator.
Solution:
Let y be the total cost for x hours.
Additional fee for one hour = $15
Additional fee for x hour = $15x
Total cost = Fixed fee + Additional fee
[tex]y=40+15x[/tex]
Therefore, the required equation is [tex]y=40+15x[/tex].
Write 3.19×10−2 in standard form.
Answer:
It is already in standard form
a line in point-slope form that goes through the points (8,-9) and (-4,15).
Answer: The answer is 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent B C is 5, opposite A C is 12.
For the triangle above, find sin B.
a.
25°
c.
0.923
b.
0.385
d.
18°
Answer:
sin = opp/hyp
sin B = 12/13
sin B = 0.923
C
Distribute 3(x^2+2x)
Answer:3
3[tex]x^{2}[/tex]+6x
is this what you want?
Step-by-step explanation:
if 3/8 of a pizza cost $5, how much would a full pizza cost? (Be sure to write your answer in the form of money)
$13.35 rougly around that
Which graph matches the following inequality: y<-2/5x+1?
Answer: B is the answer
Step-by-step explanation:
Please find X. I need help!
There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have
2/3 = (2 + x) / (3 + (x + 7))
Solve for x :
2/3 = (2 + x) / (10 + x)
2 (10 + x) = 3 (2 + x)
20 + 2x = 6 + 3x
14 = x
i need help with this
Answer:
answer is A
Step-by-step explanation:
This symbol is called a tilde. In symbolic logic (a field of math
used a lot in computer sciences) it is used to denote "not." For
example, ~A means "not A." In some other contexts, it means
"approximately." For example, pi ~= 3.1416. (Note that sometimes it is
written above the equal sign, and sometimes it is used without an
equal sign - it depends on the situation and the publisher.)
Angle ABD is 90 what is the measure of ABC
Answer:
90 I am guessing. if it's like a square or rectangle
Please help me answer this question!
Answer:
D. -3 and 3
Step-by-step explanation:
We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.
Option A:
If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.
Option B:
As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.
Option C:
If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.
Option D:
We know that -3 is a possible input so we just need to check 3 as an input.
If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.
Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.
Best of Luck!
5=45 ÷
What is the answer
45 ÷ 5 = 9
So, 5 = 45 ÷ 9
Which number sentence has the solution of a = 16?
1.) a/2 + 2 = 6
2.) a/4-3 = 1
3.) a/6 + 4 = 2
4.) a/2 - 12 = 20
is it proportional or non proportional
Answer:
proportional
Step-by-step explanation:
13/2=6.5
19.5/3=6.5
26/4=6.5
32.5/5=6.5
so if all equal the same they are proportional
The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²
Answer:
Step-by-step explanation:
Lateral surface area of cube = 4a²
4a² = 400
a² = 400÷4
a² = 100
a = √100 = √10*10
a = 10 cm
Total surface area = 6a²
= 6 * 10²
= 6* 100
= 600 cm²
Answer:
A
Step-by-step explanation:
I believe that I did this before.
What is the slope of the line that contains these points?
Pls help
Answer:
-1
Step-by-step explanation:
m=y2-y1/x2-x1
-6-(-5)=(-1)
6-5=1
-1/1=(-1)
hope this helps :3
if it did pls mark brainliest
Please help me solve this problem
Answer:
x=2
Step-by-step explanation:
because if you put the equation as in x+11=6x+1 and do the equation you'll get x=2
Jamal needs to dig a ditch 15 yards long.
Jamal digs 7 yards in the morning and
another 3 yards after lunch. How much is left to dig
more of the ditch is left to dig?
Answer:
5 yards
Step-by-step explanation:
7y+3y=10yards
15yards-10yards=5yards